Additive Operator Decomposition and Optimization–Based Reconnection with Applications

  • Pavel Bochev
  • Denis Ridzal
Conference paper

DOI: 10.1007/978-3-642-12535-5_77

Part of the Lecture Notes in Computer Science book series (LNCS, volume 5910)
Cite this paper as:
Bochev P., Ridzal D. (2010) Additive Operator Decomposition and Optimization–Based Reconnection with Applications. In: Lirkov I., Margenov S., Waśniewski J. (eds) Large-Scale Scientific Computing. LSSC 2009. Lecture Notes in Computer Science, vol 5910. Springer, Berlin, Heidelberg

Abstract

We develop an optimization-based approach for additive decomposition and reconnection of algebraic problems arising from discretizations of partial differential equations (PDEs). Application to a scalar convection–diffusion PDE illustrates the new approach. In particular, we derive a robust iterative solver for convection–dominated problems using standard multilevel solvers for the Poisson equation.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2010

Authors and Affiliations

  • Pavel Bochev
    • 1
  • Denis Ridzal
    • 2
  1. 1.Applied Mathematics and Applications 
  2. 2.Sandia National LaboratoriesOptimization and Uncertainty QuantificationAlbuquerqueUSA

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